SOLUTION: I made 3 columns for this problem and listed all the times and I am up to 120 hours and I cannot find a time that the 3 clocks will meet back up again. I would greatly appreciate t

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Question 887656: I made 3 columns for this problem and listed all the times and I am up to 120 hours and I cannot find a time that the 3 clocks will meet back up again. I would greatly appreciate the help!
The question is..
There are 3 clocks that are all set at 12:00 p.m.
The first clock adds 10 mins to every hour
The second clock subtracts 3 mins by every hour
The third clock adds 7 mins to every hour
When will the clocks be the same time again?
Will they ever be the same time again?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 clocks that are all set at 12:00 p.m.
The first clock adds 10 mins to every hour
The second clock subtracts 3 mins by every hour
The third clock adds 7 mins to every hour
When will the clocks be the same time again?
Will they ever be the same time again?
:
Change the clock cycles to minutes
1st clock: 70 min
2nd clock: 57 min
3rd clock: 67 min
:
Find the least common multiple
70 * 57 * 67 = 267330 min they should all read the same time